Abstract

We illustrate that the phase-only liquid crystal spatial light modulator (LC SLM) can be used for optical testing. The large phase change and the phase modulation precision are discussed. The computer generated holograms (CGH) method is used to acquire the significant phase modulation. And the phase modulating characteristics of the LC SLM are measured. It shows the phase modulation depth is more than 2π and the modulation precision is down to 1/14λ (PV) and 1/100λ (rms) (λ=632.8nm). In order to verify this method, the former surface of a convex lens is tested by ZYGO interferometer. The parallel straight fringes are obtained. It is shown that PV is 1/3λ and rms is 1/20λ after compensated by the LC SLM.

© 2005 Optical Society of America

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References

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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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  10. Colin Soutar and Kanghua Lu, “Determination of the physical properties of an arbitrary twisted-nematic liquid crystal cell,” Opt. Eng. 33 2704-2712 (1994)
    [CrossRef]
  11. Ignacio Moreno, Jeffrey A. Davis, Kevin G. D’Nelly and David B. Allison, “Transmission and phase measurement for polarization eigenvectors in twisted-nematic liquid crystal spatial light modulators,” Opt. Eng. 37, 3048-3052 (1998)
    [CrossRef]
  12. Tang Shu Tuen, Polarization optics of liquid crystal and its applications, PHD Thesis, Hongkong University of Science and Technology, P.26 (2001)
  13. Norbert Lindlein, “Analysis of the disturbing diffraction orders of computer-generated holograms used for testing optical aspherics,” Appl. Opt. 40, 2698-2708 (2001)
    [CrossRef]
  14. Yongjun Liu, State Key Lab of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, 16 Dong Nanhu Road, Changchun, Jilin 130033, China, and Lifa Hu are preparing a manuscript to be called “A novel method of aberrated wavefront correction for adaptive optics”.

Appl. Opt. (4)

Opt. Eng. (3)

Aris Tanone, Zheng Zhang, C. –M. Uang, Francis T. S. Yu, Don A. Gregory, “Phase modulation depth for a real-time kinoform using a liquid crystal television,” Opt. Eng. 32, 517-521 (1993)
[CrossRef]

Colin Soutar and Kanghua Lu, “Determination of the physical properties of an arbitrary twisted-nematic liquid crystal cell,” Opt. Eng. 33 2704-2712 (1994)
[CrossRef]

Ignacio Moreno, Jeffrey A. Davis, Kevin G. D’Nelly and David B. Allison, “Transmission and phase measurement for polarization eigenvectors in twisted-nematic liquid crystal spatial light modulators,” Opt. Eng. 37, 3048-3052 (1998)
[CrossRef]

Opt. Express (1)

Proc. SPIE (4)

J.H.Burge and D.S.Anderson, “Full aperture interferometeric test of convex secondary mirrors using holographic test plates,” Proc. SPIE. 2199, 181-192 (1994)
[CrossRef]

J.H.Burge, D.S.Anderson, T.D.Milster, C.L.Vernold, “Measurement of a convex secondary mirror using a holographic test plate,” SPIE. 2199, 193-198 (1994)
[CrossRef]

R.Mercier, “Holographic testing of aspherical surfaces,” SPIE. 136, 208-214 (1977)

Gilles Paul-Hus and Yunlong Sheng, “Optical real-time kinoform for on-axis phase-only correlation using liquid crystal television,” SPIE 2043, 287-295 (1993)

Other (2)

Tang Shu Tuen, Polarization optics of liquid crystal and its applications, PHD Thesis, Hongkong University of Science and Technology, P.26 (2001)

Yongjun Liu, State Key Lab of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, 16 Dong Nanhu Road, Changchun, Jilin 130033, China, and Lifa Hu are preparing a manuscript to be called “A novel method of aberrated wavefront correction for adaptive optics”.

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Figures (7)

Fig. 1.
Fig. 1.

Measured transmitted intensity and phase retardation at different grey levels. Squares and circles are the experiment data for transmitted intensity and phase retardation.

Fig. 2.
Fig. 2.

Optical layout for measuring the phase modulation precision

Fig. 3.
Fig. 3.

The wavefront phase map: (a) before corrected; (b) after corrected

Fig. 4.
Fig. 4.

Optical layout for testing the convex lens

Fig. 5.
Fig. 5.

The interferogram of the former surface of the convex lens; the red circule is the mask

Fig. 6.
Fig. 6.

The interferograms: (a) without the kinoform; (b) with the kinoform.

Fig. 7.
Fig. 7.

The phase maps: (a) without the kinoform; (b) with the kinoform.

Equations (12)

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E out = P 0 R ( ψ 2 ) R ( α ) LCTV ( α , β ) R ( ψ 1 ) E in
R ( θ ) = [ cos θ sin θ sin θ cos θ ]
P 0 = [ 1 0 0 0 ]
LCTV ( α , β ) = [ cos γ i β sin γ γ α sin γ γ α sin γ γ cos γ + i β sin γ γ ]
n e ( θ ) = n o n e ( n o 2 cos 2 θ + n e 2 sin 2 θ ) 1 2
β = π d λ [ n e ( θ ) n o ]
E out = P 0 R ( 0 ) LCTV ( 0 , β ) R ( 0 ) E in
E out = [ i sin β cos β 0 ]
T = E x 2 = 1
δ = β arg ( E x ) = 2 β = 2 π d λ ( n e ( θ ) n o )
φ CGH = φ out φ in
φ CGH = φ sur φ ref

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